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Finding the Fourth Proportional to 280,016.65, 419,949.64 and 102,524.59

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Solution

The fourth proportional to 280,016.65, 419,949.64 and 102,524.59 is: 153,759.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,016.65 : 419,949.64 = 102,524.59 : x
  2. Step 2: Convert to fraction form
    280,016.65/419,949.64 = 102,524.59/x
  3. Step 3: Cross multiply
    280,016.65x = 419,949.64 × 102,524.59
  4. Step 4: Simplify right side
    280,016.65x = 43,055,164,661.65
  5. Step 5: Solve for x
    x = 43,055,164,661.65/280,016.65
  6. Step 6: Final answer
    x = 153,759.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.